EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Mathematics Vision Project
Module 3: Numbers and Operations
Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...
EngageNY
Comparing Methods—Long Division, Again?
Remember long division from fifth grade? Use the same algorithm to divide polynomials. Learners develop a strategy for dividing polynomials using what they remember from dividing whole numbers.
Curated OER
Irrational and Imaginary Root Theorems
In this irrational and imaginary root theorem worksheet, students identify the number of complex zeros for a given function. They write a polynomial function of leas degree with integral coefficients. This four-page worksheet contains 22...
Curated OER
Fundamental Theorem of Algebra
In this worksheet, learners identify the Fundamental Theorem of Algebra. They solve polynomial functions and simplify expressions and equations.
Curated OER
Exponents - Week 1
In this exponent worksheet, students add, subtract, multiply and divide exponents. They solve problems containing negative exponents, fractional exponents, and polynomials. This two-page worksheet contains eight problems.
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
West Contra Costa Unified School District
Lowest Common Multiple through the Grades
The LCM will be your new BFF. Learners review least common multiple and least common denominator applications, mostly on fractions, from middle school. Scholars then see how the LCM can be applied to various types of problems from...
West Contra Costa Unified School District
Connecting Fractions and Rational Expressions
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout the...
Curated OER
Mathematics B: High School Exam
In this mathematics worksheet, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet contains, but is not limited to, radicals, inverse functions, transformations, and...
Illustrative Mathematics
Animal Populations
Assume all you know is that the variable Q represents a value that is bigger than the value represented by the variable P. Which is larger P + Q or 2P? The problems in this activity get more complex than that example, and they do a good...
Curated OER
Quadratic Equations with Complex Coefficients
Students solve and graph quadratic equations. In this algebra lesson, students perform basic operation using addition, subtraction, multiplication and division. They compute the quadratic formula.
Curated OER
Solving Quadratic Equations by Completing the Square
In this solving quadratic equations activity, students complete the square to tell the possible answers for 18 equations. 4 answers involve the square root of -1 (i).
Curated OER
Twenty-Six Rationalize Imaginary Denominators
In this rationalizing denominators instructional activity, students rationalize imaginary denominators in twenty-six problems. Sixteen of the problems have denominators that are monomials and ten binomials. The solutions are provided.
EngageNY
Why Were Logarithms Developed?
Show your class how people calculated complex math problems in the old days. Scholars take a trip back to the days without calculators in the 15th installment of a 35-part module. They use logarithms to determine products of numbers and...
Mathematics Assessment Project
Table Tiling
How many total tiles does it take to tile a table top? Learners apply geometric concepts to determine the number of tiles needed for a specific square table top, and then use the result to create expressions for the number of tiles...
Curated OER
Quadratics Equations
In this algebra worksheet, students define the equations and discuss how many and what kinds of roots there will be. There are 6 questions dealing with roots, complex numbers and quadratics.
Mt. San Antonio Collage
Synthetic Division and Zeros of Polynomial Functions
More than just a learning exercise, this guide provides the description of many of the polynomials theorems to assist the learners. Starting with synthetic division, class members are then guided through the remainder theorem and linear...
Curated OER
Polynomial Divisions
Students factor polynomials and use long division t solve problems. In this algebra activity, students find the zeros of polynomials by synthetic and long division. They perform operation using complex numbers.
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to quadratic...
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and use them to...
Curated OER
Domains
Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...
5280 Math
Polygon Polynomials
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...